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Finding the Third Proportional to 42,396.75 and 67,118.63

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Solution

The third proportional to 42,396.75 and 67,118.63 is: 106,256.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,396.75 : 67,118.63 = 67,118.63 : x
  2. Step 2: Convert to fraction form
    42,396.75/67,118.63 = 67,118.63/x
  3. Step 3: Cross multiply
    42,396.75x = 67,118.63 × 67,118.63
  4. Step 4: Simplify right side
    42,396.75x = 4,504,909,821.89
  5. Step 5: Solve for x
    x = 4,504,909,821.89/42,396.75
  6. Step 6: Final answer
    x = 106,256.02

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.